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morpeh [17]
3 years ago
12

Karissa begins to solve the equation (x – 14) + 11 = x – (x – 4). Her work is correct and is shown below. (x – 14) + 11 = x – (x

– 4) x – 7 + 11 = x – x + 4 x + 4 = –x + 4 When she subtracts 4 from both sides, x = –x results. What is the value of x ?
Mathematics
2 answers:
JulsSmile [24]3 years ago
6 0

Answer:

112 + 25m + 45 = 50 + 60m


Step-by-step explanation:

do tha math

sdas [7]3 years ago
4 0
Her work is incorrect because she accidentally changed -14 to -7 in the second step.
Working it out from the top we get
(x-14)+11=x-(x-4)
x-14+11=x-x+4
x-3=0+4
Final answer:
x=7
Hope I helped :)
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Which inequality can be used to determine the amount of money the family still needs to save?
Tju [1.3M]

Answer:

The inequality equation is

(2,764 + x) ≥ 5,000

Solving further, we obtain

x ≥ 2,236

where x is the amount of money the Li's family still need to save.

Step-by-step explanation:

Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.

Which inequality can be used to determine the amount of money the family still needs to save?

Solution

Let x represent the amount of money the Li's family still need to save.

It is given that the family already have $2,764 in their savings account and the family needs at least $5,000.

The total amount the family will have in total, after saving x dollars to join the already saved $2,764 will now be

$(2,764 + x)

This amount must be at least $5,000, that is, this amount must be greater than or equal to $5,000.

So, the inequality equation is then

(2,764 + x) ≥ 5,000

Solving further by subtracting 2,764 from both sides, we obtain

x ≥ 2,236

Hope this Helps!!!

7 0
3 years ago
What is the maximum area for a rectangle whose perimeter is 48 meters?
MakcuM [25]

Answer:

12m²

Step-by-step explanation:

For a rectangle, with length L and width W,

the perimeter is given as

Perimeter,

P = (2 x Length)  + (2 x Width)

P = 2L + 2W

It is given that the perimeter is 48, hence

48 = 2L + 2W   (divide both sides by 2)

24 = L + W

or

L = 24 - W -----> eq 1

Also realize that the Area of a Rectangle is given by

A = L x W  -----> eq 2

Substituting eq 1 into eq 2,

A = (24 - W) x W

A = -W² + 24W

Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) =  -b/2a

In this case, b = 24 and a = -1

-b/2a = -24/[ 2(-1) ] = 12

Hence for A to be maximum A(max) = 12m² (Answer)

5 0
3 years ago
Solve for x<br><br> 4x + 7 + 3x = 19 + x
IceJOKER [234]
7x-x=19-7
6x=12
x=2
Ask me if you have a question. Glad to help!! :))
6 0
3 years ago
Select all of the products of 2.74 • 7.5
Nana76 [90]
2.74x7.5=20.55=20.550
That's all of your answers.
7 0
3 years ago
Read 2 more answers
What is the value of x when -25(x - 4) = -55(x - 10) ?
Free_Kalibri [48]

Simplify both sides of the equation

-25(x-4)=-55(x-10)

(-25)(x) + (-25)(-4)=(-55)(x) + (-55) (-10)

Distribute

-25x+100=-55x+550

Add 55x  to both sides

-25x+100+55x=-55x+550+55x

30x+100-100=550-100

subtract 100 from both sides

30x+100-100=550-100

30x=450

divide both sides by 30

30x/30=450/30

x= 15

The value of x is 15


I hope that's help you my friend !

5 0
3 years ago
Read 2 more answers
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